I believe that this is a system of equations.
{ y = x^1
{ y = x - 1
Any number to the power of 1 is itself.
So the first equation would be y = x.
So the system would be y = x and y = x - 1.
Since the second one is identical to the first but shifted down 1 unit, these are parallel lines.
Parallel lines have no solution, since the solution to a system of equations is their intersection, and parallel lines have no intersection.
Final answers:
Parallel lines
No solution
Hope this helps!